make sure you are using the correct icon from the toolbar.. if not sure just hit the V key and it will select the move tool for you.. if that doesn't fix it i'd say the only other thing it could be is that multiple layers may be locked but that doesn't seem to be the case from your description

I don't have my laptop with me right now so I'm going off of memory, but I believe somewhere (it may be in the tool options) there is an option that says "Move Section" or "Move Layer". Make sure "Move Layer" is selected.

Also, another way that may fix this is to go to Window --> Workspace --> Reset Workspace.

Unfortunately none of your ideas worked. Even if I pressed V and tried to move it, "shadow", "mask", or another Layer is automaticly selected.

However, one thing I noticed was that there is a thing called "Edit in Quick Mask Mode" in the tools bar, and it is the very last option on the bottom left of the screen. I accidentally clicked that once, but changed it back. Maybe that messed it up?

It's really confusing, and it does not stay on one layer either. Even if I move "shadow", it will jump to "paint" instead.